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Finding the Fourth Proportional to 496.16, 685 and 319.22

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Solution

The fourth proportional to 496.16, 685 and 319.22 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.16 : 685 = 319.22 : x
  2. Step 2: Convert to fraction form
    496.16/685 = 319.22/x
  3. Step 3: Cross multiply
    496.16x = 685 × 319.22
  4. Step 4: Simplify right side
    496.16x = 218,665.70
  5. Step 5: Solve for x
    x = 218,665.70/496.16
  6. Step 6: Final answer
    x = 440.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.